Eintrag in der Universitätsbibliographie der TU Chemnitz
Volltext zugänglich unter
URN: urn:nbn:de:swb:ch1-200700157
Vasilyev, Vladimir (M.Sc.)
Silbermann, Bernd (Prof. Dr.) ; Rabinovich, Vladimir (Prof. Dr.) ; Speck, Frank-Olme (Prof. Dr.) (Gutachter)
Invertibility of a Class of Toeplitz Operators over the Half Plane
Kurzfassung in englisch
This dissertation is concerned with invertibility and one-sided invertibility of Toeplitz operators over the half plane whose generating functions admit homogenous discontinuities, and with stability of their pseudo finite sections. The invertibility criterium is given in terms of invertibility of a family of one dimensional Toeplitz operators with piecewise continuous generating functions. The one-sided invertibility criterium is given it terms of constraints on the partial indices of certain Toeplitz operator valued function.
| Universität: | TU Chemnitz | |
| Institut: | Zentrale Fakultätseinrichtungen Mathematik | |
| Fakultät: | Fakultät für Mathematik | |
| Dokumentart: | Dissertation | |
| Betreuer: | Silbermann, Bernd (Prof. Dr.) | |
| URL/URN: | http://archiv.tu-chemnitz.de/pub/2007/0015 | |
| SWD-Schlagwörter: | Banach-Algebra , Faltungsoperator , Halbraum , Stabilität , Toeplitz-Operator | |
| Freie Schlagwörter (Englisch): | Toeplitz operator over the half plane , approximate identities , convolution operator , homogenous discontinuities | |
| DDC-Sachgruppe: | Naturwissenschaften und Mathematik | |
| Tag der mündlichen Prüfung | 28.09.2006 |
